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This paper introduced a real-time digital modeling approach for electrical arc furnace (EAF) based on recorded field data. The model equaled the arc furnace to a current source controlled by the field data, and via adopting a phase locked technique, the synchronization between simulation and field data was performed, which made a long time real-time simulation possible. Besides, the model was used for evaluating the performance of SVC system which contributes to compensate Var and mitigate the harmonic and flicker caused by EAF. The simulation was implemented on the Real Time Digital Simulators (RTDS) and the results of simulation illustrate that the proposed EAF model and evaluation system can be used for testing a physical control system of SVC system and evaluating the control strategy.